Here's my guess as to its construction: From google searching, the half circles seem to be half wagon wheels <http://members.aol.com/SAG55/wwshawl.html> In the free people shawl, the inner circle is split in two and round 2 from the pattern link is repeated after round 3. Instead of using double crochet as in the link pattern, the free people shawl seems to use triple (?) crochet. From the close up pictures it seems that in each of the inner circles you triple crochet 12 times, so after round 1 you should have 24 stitches (?). So, after you do the four rounds, with the 4th round being a repetition of the 2nd round, you chain 8, triple crochet into the first triple crochet from the circle 1's edge. Chain 8 and slip stitch into the second triple crochet from circle 1's edge. ch4 then slip stitch again, and then continue with the pattern from circle 1, making sure to slip stitch every time you are near circle 1's edge. By the time you finish circle 2, you should be somewhere between both circles. Do the same thing for circle 3 as you did for circle 2, making sure that you slip stitch to each circle at the start and finish of each round. I used this pic as reference http://www.freepeople.com/images/products/_images/11591187.50.z.e.jpg I think I just confused myself a little trying to explain this. But I hope you understand. So, after you finish one circle you start the other where you finish off, slip stitching into the previous one(s).To make the shawl, my guess is that four different panels are used to create the shawl, with the outer panels using a total of 8 half circles, and the inner panels using a total of 12 half circles. The panels are joined with a criss-crossy stitch (sorry, I don't know what to call it, I'm a total crochet newbie) and I bet the criss-crossy stitch is also used at the edges of the shawl to make it more triangular. And of course the top is done in some scallop edging and fringing being added to the sides. The yarn looks like it could be mohair, and a big hook size was used. I'm sorry I couldn't be more technical. I just learned to crochet this summer, and I haven't finished my first project yet. It was fun trying to figure out how the shawl was made. I hope that someone with more advanced crochet skills can help you out.